Answer:
z - 2*x - 1.5*y = 0 maximize
subject to:
3*x + 5*y ≤ 800
8*x + 3*y ≤ 1200
x, y > 0
Step-by-step explanation:
Formulation:
Kane Manufacturing produce x units of model A (fireplace grates)
and y units of model B
quantity Iron cast lbs labor (min) Profit $
Model A x 3 8 2
Model B y 5 3 1.50
We have 800 lbs of iron cast and 1200 min of labor available
We need to find out how many units x and units y per day to maximiza profit
First constraint Iron cast lbs 800 lbs
3*x + 5*y ≤ 800 3*x + 5*y + s₁ = 800
Second constraint labor 1200 min available
8*x + 3*y ≤ 1200 8*x + 3*y + s₂ = 1200
Objective function
z = 2*x + 1.5*y to maximize z - 2*x - 1.5*y = 0
x > 0 y > 0
The first table is ( to apply simplex method )
z x y s₁ s₂ Cte
1 -2 -1.5 0 0 0
0 3 5 1 0 800
0 8 3 0 1 1200
Step-by-step explanation:
I don’t know i’m very sorry but how about $19.89
Answer:
The area of the deck that surrounds the hot tub is 17.9 m².
Step-by-step explanation:Base of deck = 5 m
Height of deck = 5 m
Area of deck = base*height
= 5*5
= 25 m²
A circular hot tub is placed in the deck whose diameter is 3 m.
Radius = diameter/2
= 1.5 m
Area of the circular hot tub = πr²
= 3.14*(1.5*1.5)
= 7.07 m²
Area of the deck that surrounds the hot tub = Area of deck - Area of tub
= 25 - 7.07
= 17.93 m²
= 17.9 m²
Answer:
Absolute deviation is when you find the mean of a data set, then the difference between each number and the mean, then the average f the differences.
Step-by-step explanation:
Maddox: |10-9| = 1
Enrique: |10-13| = 3
Gloria: |10-9| = 1
McKenna: |10-10| = 0
Asher: |10-9| = 1
Hannah: |10-9| =
Danielle: |10-10| = 0
Katy: |10-10| = 0
Timothy: |10-11| = 1
Gentry: |10-9| = 1
Now you have the numbers: 1, 3, 1, 0, 1, 1, 0, 0, 1, 1,
Now find the mean of those numbers:
The absolute deviation is 1.
